Solve real-world and other mathematical problems finding local and absolute maximum and minimum points with and without technology.

### Maximum and Minimum Values of Curves and optimization

by Allen Wolmer

Mooculus Calculus Textbook Sect 9.1 pp 146-148, 9.2 pp 150-156

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### Optimization

by Allen Wolmer

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos.

Section 12.1-12.5 pp 174-184

The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.

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### Maximum-Minimum Problems: Business and Economics Applications, Part 1

by Allen Wolmer

Instructional video from NROC/Hippocampus on maximium-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.

Video duration:  9:56

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### Maximum-Minimum Problems: Business and Economics Applications, Part 2

by Allen Wolmer

Instructional video from NROC/Hippocampus on maximum-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.

Video duration:  4:50

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### Optimization Problems

by Allen Wolmer

MIT Open Courseware video lecture on this topic

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### Extreme Values on Intervals

by Allen Wolmer

Mathvids video on this topic

Video duration:  18:55

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### Maximum & Minimum Vales and Optimization Exercises

by Allen Wolmer

Mooculus Calculus Textbook Exercises, Sect 9.1 p 149 (Ans p 252), 9.2 p 157 (Ans p 252)

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Relative Minima and Maxima Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 3 Construct viable arguments and critique the reasoning of others.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Absolute Extrema Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 3 Construct viable arguments and critique the reasoning of others.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Optimization Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 3 Construct viable arguments and critique the reasoning of others.
• 4 Model with mathematics.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Local Extreme Values Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Endpoint and Absolute Extreme Values Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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